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Related papers: Generalised Antenna Functions for Higher-Order Cal…

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In this talk we examine how one-loop soft and collinear splitting functions occur in the calculation of next-to-next-to-leading order (NNLO) corrections to production rates, and we present the one-loop gluon soft and splitting functions,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zvi Bern , Vittorio Del Duca , William B. Kilgore , Carl R. Schmidt

We discuss the CoLoRFulNNLO method for computing higher order radiative corrections to jet cross sections in perturbative QCD. We apply our method to the calculation of event shapes and jet rates in three-jet production in electron-positron…

High Energy Physics - Phenomenology · Physics 2017-08-02 Gábor Somogyi , Adam Kardos , Zoltán Szőr , Zoltán Trócsányi

We present the calculation of the next-to-next-to-leading order (NNLO) zero-jettiness beam and soft functions, up to the second order in the expansion in the dimensional regularization parameter $\epsilon$. These higher order terms are…

High Energy Physics - Phenomenology · Physics 2020-07-15 Daniel Baranowski

We carry out a global QCD analysis of parton-to-pion fragmentation functions at next-to-next-to-leading order (NNLO) accuracy by performing a fit to the combined set of single-inclusive electron-positron annihilation and, for the first…

High Energy Physics - Phenomenology · Physics 2022-07-13 Ignacio Borsa , Daniel de Florian , Rodolfo Sassot , Marco Stratmann , Werner Vogelsang

We present an automated framework for the calculation of beam functions that describe collinear initial-state radiation at hadron colliders at next-to-next-to leading order (NNLO) in perturbation theory. By exploiting the infrared behaviour…

High Energy Physics - Phenomenology · Physics 2022-08-10 Guido Bell , Kevin Brune , Goutam Das , Marcel Wald

For precision studies with QCD observables at colliders, higher order perturbative corrections are often mandatory. For exclusive observables, like jet cross sections or differential distributions, these corrections were until recently only…

High Energy Physics - Phenomenology · Physics 2008-12-30 T. Gehrmann

The next-to-next-to-leading order (NNLO) QCD analysis is performed for the virtual photon structure functions which can be measured in the double-tag events in two-photon processes in $e^+e^-$ collisions. We investigate the perturbative QCD…

High Energy Physics - Phenomenology · Physics 2008-12-30 Ken Sasaki , Takahiro Ueda , Yoshio Kitadono , Tsuneo Uematsu

We study the collinear splitting functions needed for next-to-next-to-leading order calculations of jet production in the vacuum and in dense QCD matter. These splitting functions describe the probability of a parton to evolve into…

High Energy Physics - Phenomenology · Physics 2013-04-15 Michael Fickinger , Grigory Ovanesyan , Ivan Vitev

We extend the antenna subtraction method to include initial states containing one hadron at NNLO. We present results for all the necessary subtraction terms, antenna functions, for the master integrals required to integrate them over the…

High Energy Physics - Phenomenology · Physics 2015-05-14 A. Daleo , A. Gehrmann-De Ridder , T. Gehrmann , G. Luisoni

We derive the integrated forms of specific initial-final tree-level four-parton antenna functions involving a massless initial-state parton and a massive final-state fermion as hard radiators. These antennae are needed in the subtraction…

High Energy Physics - Phenomenology · Physics 2015-06-11 Gabriel Abelof , Aude Gehrmann-De Ridder , Oliver Dekkers

We present FMNLO, a framework to combine general-purpose Monte Carlo generators and fragmentation functions (FFs). It is based on a hybrid scheme of phase-space slicing method and local subtraction method, and accurate to next-to-leading…

High Energy Physics - Phenomenology · Physics 2024-01-09 ChongYang Liu , XiaoMin Shen , Bin Zhou , Jun Gao

In this work we calculate for the first time the next-to-next-to leading order (NNLO) QCD corrections to identified hadron production at hadron colliders. The inclusion of the NNLO correction has an important impact on all observables…

High Energy Physics - Phenomenology · Physics 2025-10-23 Michał Czakon , Terry Generet , Alexander Mitov , Rene Poncelet

In this presentation we review the current status in the automated evaluation of scattering amplitudes, with particular attention to the developments related with NLO calculations, which led to the construction of powerful multi-purpose…

High Energy Physics - Phenomenology · Physics 2015-08-11 Giovanni Ossola

The computation of exclusive QCD jet observables at higher orders requires a method for the subtraction of infrared singular configurations arising from multiple radiation of real partons. We present a subtraction scheme relevant for NNLO…

High Energy Physics - Phenomenology · Physics 2011-05-05 A. Gehrmann--De Ridder , T. Gehrmann , E. W. N. Glover

I discuss the effectiveness of soft-gluon resummations in describing higher-order corrections. I present a comparison of recent resummation approaches and their relative successes in approximating complete NNLO corrections. I also discuss…

High Energy Physics - Phenomenology · Physics 2023-02-21 Nikolaos Kidonakis

We calculate the soft function for the global event variable 1-jettiness at next-to-next-to-leading order (NNLO) in QCD. We focus specifically on the non-Abelian contribution, which, unlike the Abelian part, is not determined by the…

High Energy Physics - Phenomenology · Physics 2018-04-18 John M. Campbell , R. Keith Ellis , Roberto Mondini , Ciaran Williams

Generalized prolate spheroidal functions (GPSFs) arise naturally in the study of bandlimited functions as the eigenfunctions of a certain truncated Fourier transform. In one dimension, the theory of GPSFs (typically referred to as prolate…

Numerical Analysis · Mathematics 2024-10-02 Philip Greengard

We present the first computation of next-to-next-to-leading order (NNLO) pure QED and mixed QCD$\otimes$QED corrections to unpolarized and polarized semi-inclusive deep-inelastic scattering (SIDIS). Building on our previous NNLO QCD…

High Energy Physics - Phenomenology · Physics 2025-10-22 Saurav Goyal , Roman N. Lee , Sven-Olaf Moch , Vaibhav Pathak , V. Ravindran

We summarize recent results on the evolution of unpolarized parton densities and deep-inelastic structure functions in massless perturbative QCD. Due to last year's extension of the integer-moment calculations of the three-loop splitting…

High Energy Physics - Phenomenology · Physics 2008-11-26 W. L. van Neerven , A. Vogt

We present the calculations of the complete next-to-leading order (NLO) QCD corrections (including supersymmetric QCD) to the inclusive total cross sections of the associated production processes $pp\to A^0Z^0+X$ in the Minimal…

High Energy Physics - Phenomenology · Physics 2009-11-11 Qiang Li , Chong Sheng Li , Jian Jun Liu , Li Gang Jin , C. -P. Yuan